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El diablo de los números
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El diablo de los números (1997)

MembrosCríticasPopularidadeAvaliação médiaMenções
1,571308,344 (3.87)12
Annoyed with his math teacher who assigns word problems and won't let him use a calculator, twelve-year-old Robert finds help from the number devil in his dreams.
Título:El diablo de los números
Informação:Publisher Unknown, 258 pages
Colecções:A sua biblioteca

Pormenores da obra

The Number Devil: A Mathematical Adventure por Hans Magnus Enzensberger (1997)

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» Ver também 12 menções

Inglês (15)  Espanhol (6)  Holandês (3)  Alemão (2)  Italiano (1)  Francês (1)  Dinamarquês (1)  Todas as línguas (29)
Mostrando 1-5 de 29 (seguinte | mostrar todos)
This is a book about maths brought alive in the dreams of a boy. Initially overwhelmed by the apparent complexity of manipulating numbers, he learns how simple and beautiful mathematics can be. I love it because it’s such a fun approach. ‘Scary’ mathematical terms translated into words you actually want to say and with beautifully illustrations. If you have children, I suggest you read it to them. Slowly, pausing to grasp the mathematics involved and with a pen and paper by your side. ( )
  Happenence | Oct 2, 2020 |
El mejor libro de matemáticas recreativas que no está escrito por un ruso ni por Martin Gardner!

En serio, este es uno de los mejores libros que he encontrado para explicar, de forma sencilla, un montón de curiosidades mentales que un chico o chica de unos 10 años podrá entender sin mucho problema. A cambio de su atención presenta un buen puñado de temas que alcanzan incluso las matemáticas «avanzadas» del siglo XX. Vale la pena, incluso para muchos adultos que se han declarado «malos para las matemáticas». Créanme, aquí hay mucho que descubrir y aprender.

La reseña termina aquí, voy a poner mi lista de los temas que trata el libro en su nombre académico y formal (en el libro casi no hay terminología avanzada).

En el libro hay:

1) Introducción a las matemáticas, construcción sistemática de números, cardinalidad de ℕ, hacia los infinitesimales mediante recíprocos, 11×11.
2) Números romanos, el cero y su importancia, notación posicional, potencias
3) División como «inverso» de la multiplicación, por qué no se puede dividir entre cero, números primos, criba de Eratóstenes, postulado de Bertrand o Teorema de Chebyshev, números pares como suma de dos primos, números impares como suma de tres primos (hacia la conjetura de Goldbach)
4) decimales «interminables» y quebrados, 0.999... es igual a 1, infinidad de números reales entre el 0 y el 1 (con prueba), decimales «repetidos», raíces, números irracionales y su cardinalidad, acercamiento a distintos infinitos
5) Números triangulares y la suma sucesiva de enteros, números como suma de triangulares, cuadrados como suma de triangulares, suma de números sucesivos y el truco de Gauss, otras «posibles figuras»
6) Sucesión de Fibonacci, sumas de números de Fibonacci, el problema de las liebres
7) Triángulo de Pascal y cómo codifica los triangulares y las potencias de 2 y la sucesión de Fibonacci, patrones con los números pares
8) Combinaciones, permutaciones (factoriales), selecciones a partir de un conjunto, aún más triángulo de Pascal
9) Cardinalidad de conjuntos infinitos contables, sumas infinitas de recíprocos, 1/2 + 1/4 + 1/8 +...=1, la serie armónica y su suma, prueba de la misma
10) Fi (ϕ) en Fibonacci y sucesiones similares, ϕ como fracción continuada, ϕ en el pentágono, ϕ=sqrt(5)/2, característica de Euler
11) Mostrar no es igual que probar, introducción a pruebas y axiomas, Johan van de Lune, vistazo a Bertrand Russell y el formalismo del«Principia Mathematica», el problema del viajante (travelling salesman) y problemas intractables
12) Russell y paradojas, Samuel Klein y superficies no orientables, Georg Cantor y números infinitos, Euler y Gauss, i=sqrt(-1), Pitágoras, π, regresa el truco de Gauss. ( )
  andycyca | Aug 6, 2019 |
Very interesting concept. I was expecting something along the lines of The Phantom Tollbooth but this book doesn't even come close to that level of whimsical profoundness. I was definitely disappointed. The encounters between the dreaming child Robert and the Number Devil quickly become repetitive and stale. The author is trying to make children realize for themselves that mathematics are beautiful but the execution of this goal is actually quite ordinary. This book is recommended for kids 10 but I think it's more appropriate for an even younger audience. When I was 10, I was reading A Wrinkle in Time and its sequels... The Number Devil would have bored me to tears. ( )
  bookishblond | Oct 24, 2018 |
Book Review: The Number Devil
My first encounter with this book was the jacket, with a cartoon devil and a quote describing The Number Devil as a cross between Alice and Wonderland and Flatland. Having never read Flatland, but being familiar with Alice in Wonderland, I was intrigued, and indeed there were many aspects of the novel which invoked an Alice in Wonderland feel. Robert finds himself being guided through an imaginary mathematical universe, much as Alice was led through Wonderland; however, the major similarity ends there as Hans Enzensberger reveals a handful of the most fascinating mathematical concepts with comical prose and lively illustration. A reader of any age and mathematical competence is confronted with the vastness of numbers and math through the eyes of Robert and his guide.
The first feature of the book which I enjoyed was the simplicity of the presentation of complex mathematical ideas. The Number Devil begins by showing Robert basic operations with 1’s, and each subsequent dream/chapter expands on the ideas behind it. The building up of complicated ideas with numbers from very small and simple building blocks is a central tenet in the study of mathematics, and this structure encourages young readers to think about the math they have been acquainted with and consider how they might expound on those concepts. The section devoted to place value strikes a good balance between the history of math, which is delivered through the demonstration of Roman numerals, and teaching the concept and necessity of place value in larger mathematical systems. Students are presented math they have likely seen before in elementary grades, and asked to consider how difficult it would be to work with numbers without zero. Since the chapters are relatively short and interspersed with illustrations and calculations, young readers are afforded the opportunity to dive into the topic without being overwhelmed.
A second feature of the novel that I appreciated was the mixture of whimsical and technical terminology for the topics discussed. For example, the Number Devil calls prime numbers, “prima donnas;” square roots, “rutabagas;” factorial, “vroom;” units, “quang” and so on. As an adult reader, I chuckled at the author’s choices for these math vocabulary terms, because many are tangentially related to the official term. By doing so, the author demonstrates to young students the human side of mathematics, a subject that many view as boring or uninspired. In reality, the mathematical concepts, terms, and processes of thinking have been passed down through the centuries like many other academic traditions. Enzensberger also makes a modest attempt to showcase the diverse range of people what have contributed to the development of math through the ages. Balancing this with the pure mathematics opens the door for students with varying interests to engage with the novel.
The close of the book is one of the finest parts, and does an even better job of emphasizing the fluidity of mathematical knowledge than changing a few terms. In language that is accessible to many ages, the author introduces the idea of mathematical proof and the curiosity to know not just “how” numbers work, but “why” as well. Robert’s desire for proof is ultimately what leads him to a seat at the table with the great mathematicians of the ages, and is a trait that all math teachers should cultivate in their students. Importantly, the character of the Number Devil confesses that not even the smartest mathematician, teacher, or mentor knows all the answers, a fact that can be both disappointing and exhilarating. By addressing these topics early in a student’s mathematical journey, this book can serve as a valuable tool for teachers to build mathematical literacy and understanding. ( )
  apoyner | Aug 29, 2018 |
Hans Enzensberger's novel presents the amazing qualities of mathematics in a fun way - through dreams! For people who have a good grasp on mathematical concepts, this book is a great read to bring you back to basics and perhaps spark interest in the reasons behind why certain principles work. For readers who might not have such a strong relationship with mathematics, the story can definitely spark a sense of intrigue as the standard-boring-presented math we see in many school classrooms is explained in fun and unusual ways. From a literature perspective, the plot is sort of weak as we simply see Robert learning new things to do with math during his dreams. From a teacher's perspective the only issue I had with the novel is the use of childish terms for real mathematical vocabulary. The author mentions this in the end of the story, but reinforcing these words throughout the plot could lead to confusion when these topics are discussed in a physical classroom. Overall I would suggest this book for anyone interested in the amazing qualities math has to offer. ( )
  BComeaux | Aug 29, 2018 |
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» Adicionar outros autores (11 possíveis)

Nome do autorPapelTipo de autorObra?Estado
Hans Magnus Enzensbergerautor principaltodas as ediçõescalculated
Berner, Rotraut SusanneIlustradorautor secundáriotodas as ediçõesconfirmado
Fortea, CarlosTradutorautor secundárioalgumas ediçõesconfirmado
Heim, Michael HenryTradutorautor secundárioalgumas ediçõesconfirmado
Meeuse, PietTradutorautor secundárioalgumas ediçõesconfirmado

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Annoyed with his math teacher who assigns word problems and won't let him use a calculator, twelve-year-old Robert finds help from the number devil in his dreams.

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